
Lab
3:
Amplitude
and
Frequency
Modulation
Solutions
Id)
Q:
Compute
and
draw
the
spectra
of
the
square
wave
input
and
the
AM
wave.
A:
Square
wave:
m(t)
=
(sinco/
+
—
sin3to/
+
—
sin5<»>/
+
)
TC
3
5
2
1
1
w
(
0
=
—
(OTI2IC1000/
+
—
SüI2TC3000/
+
—
sin27t5000/
+
)
7i
3
5
m(f)
=
j—
[»(/"
+
1000)
+
b(f-
1000)]
+
y
—
[b(f
+
3000)
+
b(f
-
3000)]
7t
3
%
+
j-^—
[b(f+
5000)
+
b(f-
5000)]
5
7C
AM
wave:
x(t)
=
A
[1
+
k
m(t)]
sin
2TC//
2
1
x(t)
=
1
[1
+
k
a
—
(sin2
%1000t
+
—
sin27c3000/
a
7
i
3
+
—
sin
2
7c
5000/)]
««2
TC
20000/
5
Lab
3
Solutions
Page
1
71
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